Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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Find the linearization of the function at a .
f(x) = x 4 + 3 x2 , a = -1
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- Let f(x) be the height of a maple tree in inches and x the number of years since 2000. A linear model for the data is f(x) = 9.44x + 84.182. 220 210 200 190 180 170 160 150 140 130 120 110 100 -90 80 70 -60 50+ 12 A) To the nearest inch, estimate the height of the maple tree in 2011. inches B) Use the equation to find the year in which the tree will be 246 inches tall.arrow_forwardLet f(x)f(x) be the height of a maple tree in inches and xx the number of years since 2000. A linear model for the data is f(x)=9.44x+84.182f(x)=9.44x+84.182.36912155060708090100110120130140150160170180190200210220A) To the nearest inch, estimate the height of the maple tree in 2011. inchesB) Use the equation to find the year in which the tree will be 237 inches tall.arrow_forwardShow that the three functions: f₁(x) = ex-8f2(x)=e8x, f(x) = 4(2x-2) are linearly dependent.arrow_forward
- Let f(x)f(x) be the height of a maple tree in inches and xx the number of years since 2000. A linear model for the data is f(x)=9.44x+84.182f(x)=9.44x+84.182.36912155060708090100110120130140150160170180190200210220A) To the nearest inch, estimate the height of the maple tree in 2015. inchesB) Use the equation to find the year in which the tree will be 239 inches tall.arrow_forwardProvide the functions according to the conditions:arrow_forwardLet f(x) be the height of a maple tree in inches and the number of years since 2000. A linear model for the data is f(x) = 9.44x + 84.182. 220 210- 200 190 180 170 160 150- 140- 130- 120 110 100 -90- ge 70- -60 -50+ 3 Ő 9 12 A) To the nearest inch, estimate the height of the maple tree in 2013. inches B) Use the equation to find the year in which the tree will be 250 inches tall.arrow_forward
- Determine if the set of functions is linearly independentarrow_forwardLet f be a function that satisfies f(1, 2) = 16, f(1, 2) = -4, and f,(1, 2) = -3. Use linearization to estimate the value f(1.01, 1.98). f(1.01, 1.98) xarrow_forwardThe functions f(x) = x-1 and g(x) = 2-2x are linearly dependent. Justify your Answer T Farrow_forward
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